MULTIPLICITY THEORY FOR OPERATOR ALGEBRAS

Multiplicity Theory for Operator Algebras.

I Since (3.1) is homogeneous of degree zero in vm, vm, and am in (3.2) can be taken to be dym/dy4, d2y/(dy4)2,resp. Thenv4 = 1 a4= 0 10 On the nullspheres (X = 0) one gets If = 0, where R = 0-i.e., just the Coulomb infinity. 11 E.g., X acts like a sort of gauge, or numerical length assigned to some standard physical rod by the observer at xm. This rod can be assigned any positive value, but not...

Operator Theory and Operator Algebras

K-theory for operator algebras. Classification of C∗-algebras

In this article we survey some of the recent goings-on in the classification programme of C-algebras, following the interesting link found between the Cuntz semigroup and the classical Elliott invariant and the fact that the Elliott conjecture does not hold at its boldest. We review the construction of this object both by means of positive elements and via its recent interpretation using counta...

Recent Advances in Operator Theory and Operator Algebras

In this article the spectral theorem for right linear compact normal operators on quaternionic Hilbert spaces is proved. Though the version of spectral theorem for such operators in quaternionic Hilbert space is appeared in recent literature using the left multiplication and considering the Hilbert space to be slice complex linear, we present a different approach, which is similar to the classi...

Personal Notes in Operator Algebras and Operator Theory

This note collects some facts, theorems in operator algebras and operator theory for fullfilling my understanding in my studying progress. Part I contains some fundamental notes which I collect from many textbooks and surveys. I will either try to provide some unclear details or solve some basic but important exercises. Other parts might include some parts in published articles which I try to f...